An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.
Answer:
a) The probability tree is constructed below
b) the probability that at least two women will be selected is 0.500
Step-by-step explanation:
Given the data in the question;
a) The probability tree is as follows;
3 men, 3 women
↓
_______________________|________________________
↓ ↓ ↓ ↓
3 men 2 men 1 man 0 men
0 women 1 woman 2 woman 3 women
b) the probability that at least two women will be selected
p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3
so
p( at least two women would be selected) = C
³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃
= 3!/(2!(3-2)!) × 3!/(1!(3-1)!) / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)
= 3 × 3 / 20 + 1 × 1 / 20
= 9/20 + 1/20
= 0.45 + 0.05
p( at least two women would be selected) = 0.500
Therefore, the probability that at least two women will be selected is 0.500
Write the sentence as an equation.
163 reduced by p is 291
Answer:
163 - p = 291
Step-by-step explanation:
Answer:
Here are some examples.
f(x) = [tex]x^{4}[/tex] - 6
f(x) = 3[tex]x^{2}[/tex] - x + 3
f(x) = 3[tex]\sqrt[]{3}[/tex] + [tex]x^{2}[/tex]
Step-by-step explanation:
Hope I could help. Brainliest??
PLS HELP I WILL GIVE BRAINLIEST
Answer:
Part A: A. 28+5h
Part B: Yes
If you vertically stretch the absolute value parent function, f(x)=|x|, by a factor of 4, which of these is the equation of the new function?
Given the linear system:
5x + 3y = 17
-8x - 3y = 9
What is the correct formula for the solution to the linear system?
Answer:
Step-by-step explanation:
For this question, it's C
The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?
Answer:
8x^2 - 26x + 33
Step-by-step explanation:
Add the expressions.
2x^2 - 13x + 12 + 6x^2 - 13x + 21 =
= 2x^2 + 6x^2 - 13x - 13x + 12 + 21
= 8x^2 - 26x + 33
A circle has a radius of 18.2 cm. Find the
length of the arc intercepted by a central
angle having the measure 3 radians.
Answer:
54.6cm
Step-by-step explanation:
Arc length = radius * central angle
= 18.2*3
=54.6
emeril is building a cutting board for his home kitchen.He wants it to be similar in size to the cutting board at gis restaurant.His restaurant cutting board is 36 inches wide by 21 inches long .He has enough space on his home counter for a board that is 24 inches wide.How long will his home cutting board be?
Answer:
14 inches
Step-by-step explanation:
I say 14 inches because width for the board at the restaurant is 36 (3×12) and the length is (3×7) so if the width for the board at home is 24 ( 2×12) then the length must be 14 ( 2×7). See what I did?
His home cutting board will be 14 inches long.
Since Emeril is building a cutting board for his home kitchen, and he wants it to be similar in size to the cutting board at gis restaurant, which is 36 inches wide by 21 inches long, and he has enough space on his home counter for a board that is 24 inches wide, to determine how long will his home cutting board be the following cross multiplication calculation must be performed:
36 = 24 21 = X (21 x 24) / 36 = X 14 = X
Therefore, his home cutting board will be 14 inches long.
Learn more in https://brainly.com/question/24919859
¿Cómo se dice 80 en números romanos?
Answer:
PLEASE MARK ME BRAINLEST...
Step-by-step explanation:
Para leer y escribir correctamente el número 80 como número romano LXXX, debe leerse y escribirse de izquierda a derecha, y de mayor a menor número.
Answer:
Guessing that Romanos means Roman Numerals = LXXX
Step-by-step explanation:
L=50
X=10
10X3= 30
30+50=80
The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 27 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.1 years and a sample variance of 36.0 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls.
Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is SM=_________ .The t statistic is _________. Now suppose you have a larger sample size n 81. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same standard deviation as above, but with the larger sample size. The new estimated standard error is __________ .The new t statistic is___________
Answer:
a) t-statistic t = 0.9532
b) The standard error S.E = 1.2
c) The new t-statistic = 1.95
d) The new estimated standard error =0.666
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 16
The sample size n=27
The mean of the sample = 17.1
Given that the variance of the sample (S²) = 36.0
The standard deviation of the sample (S) = √36 = 6
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{27} } }[/tex]
t = 0.9532
b)
The standard error is defined by
[tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{27} } =1.154[/tex]
Step(ii):-
c) given that the sample size n = 81
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{81} } }[/tex]
t = 1.65
d)
The new standard error is defined by
[tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{81} } = 0.66[/tex]
5/7 times 1/8 ANSWER IN UNDER 2 MINUTS AND ILL MAKE YOU BRAINLIEST
Answer:5/56 or a decimal form of 0.08928571
Step-by-step explanation:
Answer:
0.08928571428571428571428571428571
Step-by-step explanation:
I hope this helps!
−4x+7y=3 what are the intercepts!!!!!
Ana's manager is trying to figure out how much to charge for a chair that just arrived. If the wholesale price of the chair is $135 and Ana's store marks up all the furniture by 85%, at what price should the manager sell the chair? Round your answer to the nearest cent.
Answer:
$249.75
Step-by-step explanation:
135 x 0.85
114.75 + 135
HELP Which of the following is NOT a property of a magnet, exerts magnetic force, has magnetic poles, some magnets have two north poles, has a magnetic field
Answer:
Some magnets have two north poles
differentiate between Charles babbage's and Alan turing's computer designs
A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers. If a new data point at 12 is added to the graph, which will be true? The mean will increase, and the median will stay the same. The median will increase, and the mean will stay the same. The mean will increase more than the median, but both will increase. The median will increase more than the mean, but both will increase.
Answer:
Answer: C) The mean will increase more than the median, but both will increase.
Step-by-step explanation:
I got it right on the test review.
Answer:
just took the test the answer is C)
Step-by-step explanation:
Geometry problem above^^^ In the figure at the right FGH ~ KLJ....
Answer:
x = 12
y = 4.5
Step-by-step explanation:
Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:
[tex] \frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ} [/tex]
[tex] \frac{9}{y} = \frac{x}{6} = \frac{6}{3} [/tex]
✔️Let's solve for x using:
[tex] \frac{x}{6} = \frac{6}{3} [/tex]
Multiply both sides by 6
[tex] \frac{x}{6}*6 = \frac{6}{3}*6 [/tex]
[tex] x = \frac{6*6}{3} [/tex]
[tex] x = 12 [/tex]
✔️Solve for y using:
[tex] \frac{9}{y} = \frac{6}{3} [/tex]
Cross multiply
[tex] y*6 = 3*9 [/tex]
6y = 27
y = 27/6
y = 4.5
Use the rule 2 + 3 to find the missing number on the table.
X Y
0 3
3 6
11
7 10
9 12
Answer:
14
Step-by-step explanation:
11 + 3 = 14
Hope it helps!
Thanks!
Helpppppppp me with question 2 Tuesday pleaseeeeee
Answer:
firstly we solve mixed fraction i. e .
5/2 +b = 47/4
b. = 47/4 - 5/2
b = 27/4
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Answer:
2 - [tex]b = 9\frac{1}{4}[/tex]
Step-by-step explanation:
Convert the mixed numbers into improper fractions.
2 • 2 + 1 = 5
4 • 11 + 3 = 47
[tex]\frac{5}{2} + b = \frac{47}{4}[/tex]
[tex]-\frac{5}{2} +\frac{5}{2} + b = \frac{47}{4} - \frac{5}{2}[/tex]
[tex]b = \frac{37}{4}[/tex]
[tex]b = 9\frac{1}{4}[/tex]
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.
A=
Step-by-step explanation:
area of trapezium = 15× 12 + 1/2× 12× 5
= 180 + 30 = 210
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
What is the length of the unknown side?
16
12
A 14 units
B) 20 units
C 28 units
D) 200 units
Answer:
B)20 Units is the answer for it
Tanner had $42.80 and spent 20% of his money on a book including tax. If he paid with a $10 bill, how much change did Tanner get back?
A. $7.28
B. $6.24
C. $1.44
D. $17.54
I have to turn this in at 5:00 pls help!!!
Write the multiplicative identity using 9.
Answer:
3*3
Step-by-step explanation:
hope it helps you
thank you
What is the difference between |-3|and -3?
Answer:
c vbnnbvgh3456789okjhgc
Step-by-step explanation:
Answer:
the difference between |-3| and -3 is -3 because |-3| is actually 3... when a negative number is one these lines | | such as |-3| it becomes positive.
Step-by-step explanation:
so the difference between 3 and -3 is -3
your answer is -3
hope this helps!!!
Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast, before tip?
Answer:
$1.44
Step-by-step explanation:
1.80x20%
Answer:
$ 1.44
Step-by-step explanation:
Multiply 1.80 and 20%
5.16=4n please hurry I need the answer
HURRY WILL MARK AS BRAINLIEST IF CORRECT
Answer:
The nuber of cells double
Step-by-step explanation:
The cyroplasmic or cytokinesis is the divison of cells at the end of mitosis bringing the seperation to become 2 daughter cells.
A photograph is in the shape of a rectangle. It has a Iength of (x + 2) inches and a width of (x -2) inches. What is the area of the photograph?
Answer:
The area of the photograph is: [tex]A=x^2-4[/tex]
Step-by-step explanation:
Given
The length of rectangular photograph = [tex]l[/tex] = (x + 2) inches
The width of rectangular photograph = [tex]w[/tex] = (x - 2) inches
To determine
The area of the photograph
Important Tip:
Given that the photograph is in the shape of a rectangle. Thus, we can use the formula involving the area of a rectangle to determine the area of a photograph.
The Area of the photograph can be determined using the formula
[tex]A = wl[/tex]
where
[tex]A[/tex] is the area[tex]l[/tex] is the length[tex]w[/tex] is the widthnow substituting [tex]l = (x + 2)[/tex] and [tex]w = (x-2)[/tex] in the formula
[tex]A = wl[/tex]
[tex]A = (x-2) (x+2)[/tex]
Apply Difference of Two Squares Formula: [tex]\left(a-b\right)\left(a+b\right)=a^2-b^2[/tex]
[tex]A=x^2-2^2[/tex] ∵ [tex]a=x,\:b=2[/tex]
[tex]A=x^2-4[/tex] ∵ [tex]2^2=4[/tex]
Therefore, the area of the photograph is: [tex]A=x^2-4[/tex]
Help, Please, will give 20 points and brainiliest. URGENT!
Answer:
Step-by-step explanation:
b = 21 is the base, a is the height
area = 0.5ab = 210
ab = 420
a = 420/b = 420/21 = 20 ft
length of hypotenuse = √(a²+b²) = √(20²+21²) = √841 = 29 ft
